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Example 2 - A family has two children. What is probability - Examples

Example 2 - Chapter 13 Class 12 Probability - Part 2

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Example 2 A family has two children. What is the probability that both the children are boys given that at least one of them is a boy ? A Family has two children Let girls be denoted by g & boys be denoted by b S = {(g, g), (g, b), (b, g), (b, b)} We need to find the probability that both the children are boys, given at least one them is a boys F : at least one of the children is a boys E : both the children are boys We need to find P(E|F) Also, E F = {(b, b)} P(E F ) = 1 4 Now, P(E|F) = ( ) ( ) = 1 4 3 4 = 1 3 P(E|F) =

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